What is the Greatest Common Factor of 99471 and 99483?

Greatest common factor (GCF) of 99471 and 99483 is 3.

GCF(99471,99483) = 3

We will now calculate the prime factors of 99471 and 99483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99471 and 99483.

How to find the GCF of 99471 and 99483?

We will first find the prime factorization of 99471 and 99483. After we will calculate the factors of 99471 and 99483 and find the biggest common factor number .

Step-1: Prime Factorization of 99471

Prime factors of 99471 are 3, 71, 467. Prime factorization of 99471 in exponential form is:

99471 = 3¹ × 71¹ × 467¹

Step-2: Prime Factorization of 99483

Prime factors of 99483 are 3, 33161. Prime factorization of 99483 in exponential form is:

99483 = 3¹ × 33161¹

Step-3: Factors of 99471

List of positive integer factors of 99471 that divides 99471 without a remainder.

1, 3, 71, 213, 467, 1401, 33157

Step-4: Factors of 99483

List of positive integer factors of 99483 that divides 99471 without a remainder.

1, 3, 33161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99471 and 99483. The biggest common factor number is the GCF number.
So the greatest common factor 99471 and 99483 is 3.

Also check out the Least Common Multiple of 99471 and 99483